Momentum boundary layers in transcritical channel flows

We present well-resolved large-eddy simulations (LES) of a channel flow solving the fully compressible Navier–Stokes equations in conservative form. An adaptive look-up table method is used for thermodynamic and transport properties. We apply a physically consistent subgrid-scale turbulence model, that is based on the Adaptive Local Deconvolution Method (ALDM) for implicit LES. The wall temperatures are set to enclose the pseudo-boiling temperature at a supercritical pressure, leading to strong property variations within the channel geometry. In total seven cases are computed covering different Reynolds numbers, pseudo-boiling positions and pressure values. The hot wall at the top and the cold wall at the bottom produce asymmetric mean velocity and temperature profiles which result in different momentum layer thicknesses. All cases feature a turbulent mass flux which is essential in turbulence modelling. Furthermore, we analyse the turbulent kinetic energy budgets, perform a quadrant and octant analysis of the Reynolds shear stress and employ an invariant map to study the anisotropy in transcritical turbulent channel flows. © 2023     «

We present well-resolved large-eddy simulations (LES) of a channel flow solving the fully compressible Navier–Stokes equations in conservative form. An adaptive look-up table method is used for thermodynamic and transport properties. We apply a physically consistent subgrid-scale turbulence model, that is based on the Adaptive Local Deconvolution Method (ALDM) for implicit LES. The wall temperatures are set to enclose the pseudo-boiling temperature at a supercritical pressure, leading to strong...     »

Funding text 1 The authors gratefully acknowledge the financial support provided by the German Research Foundation (Deutsche Forschungsgemeinschaft-DFG) within the framework of the Sonderforschungsbereich Transregio 40, SFB-TRR40 (Technological foundations for the design of thermally and mechanically highly loaded components of future space transportation systems). Computational resources have been provided by the Leibniz Supercomputing Centre Munich (LRZ). Furthermore, we would like to thank Rainer Friedrich for providing some literature regarding the turbulent mass flux and Jean-Pierre Hickey for the discussion on unclosed terms during the research stay in Waterloo. Funding text 2 The authors gratefully acknowledge the financial support provided by the German Research Foundation (Deutsche Forschungsgemeinschaft-DFG) within the framework of the Sonderforschungsbereich Transregio 40, SFB-TRR40 (Technological foundations for the design of thermally and mechanically highly loaded components of future space transportation systems). Computational resources have been provided by the Leibniz Supercomputing Centre Munich (LRZ).      «

Funding text 1 The authors gratefully acknowledge the financial support provided by the German Research Foundation (Deutsche Forschungsgemeinschaft-DFG) within the framework of the Sonderforschungsbereich Transregio 40, SFB-TRR40 (Technological foundations for the design of thermally and mechanically highly loaded components of future space transportation systems). Computational resources have been provided by the Leibniz Supercomputing Centre Munich (LRZ). Furthermore, we would like to thank R...     »